Finding the Third Proportional to 21,007 and 40,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,007 : 40,474.50 = 40,474.50 : x
2. Step 2: Convert to fraction form
   21,007/40,474.50 = 40,474.50/x
3. Step 3: Cross multiply
   21,007x = 40,474.50 × 40,474.50
4. Step 4: Simplify right side
   21,007x = 1,638,185,150.25
5. Step 5: Solve for x
   x = 1,638,185,150.25/21,007
6. Step 6: Final answer
   x = 77,982.82